Finite Group Databasebeta

← Group #12970544

Character table — Group #12970544

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11112222222222224444444448888888888888888888888881010161616162020204040404040401111222222222222444444444888888888888888888888888101016161616202020404040404040
order1222224455101010101010410101010202020202224881010101010101010202040404040404040404410102020444244488222222441010101010101010410101010202020202224881010101010101010202040404040404040404410102020444244488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-1-1111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-1-1
χ4111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11-1-11111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11-1-1
χ61111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111
χ71111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-1-1-1111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-1-1-111
χ81111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1
χ91111-1-11111111111-1-1-1-1-111111-11-11-11111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1-11-111-11111-1-11111111111-1-1-1-1-111111-11-11-11111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1-11-111-1
χ101111-1-11111111111-1-1-1-1-111111-11-11-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1111-11-1-111111-1-11111111111-1-1-1-1-111111-11-11-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1111-11-1-11
χ111111-1-11111111111-1-1-1-1-111111-1-11-111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-111-1-1-111111-1-11111111111-1-1-1-1-111111-1-11-111111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-111-1-1-11
χ121111-1-11111111111-1-1-1-1-111111-1-11-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1111-11111-1-11111111111-1-1-1-1-111111-1-11-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1111-1
χ131111-1-11111111111-1-1-1-1-11111-111-1-11-1-1-1-11111-1-1-1-1-1-111111111-1-11-1-1-1-111-111111-1-11111111111-1-1-1-1-11111-111-1-11-1-1-1-11111-1-1-1-1-1-111111111-1-11-1-1-1-111-11
χ141111-1-11111111111-1-1-1-1-11111-111-1-11-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-11111-1-11-11111-1-11111111111-1-1-1-1-11111-111-1-11-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-11111-1-11-1
χ151111-1-11111111111-1-1-1-1-11111-11-111-1-1-1-1-11111-1-11111-1-1-1-111-1-1111-1-11-11-11-11111-1-11111111111-1-1-1-1-11111-11-111-1-1-1-1-11111-1-11111-1-1-1-111-1-1111-1-11-11-11-1
χ161111-1-11111111111-1-1-1-1-11111-11-111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-111-11-11-111111-1-11111111111-1-1-1-1-11111-11-111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-111-11-11-11
χ1722222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−1+52−1−52−1+52−1−5200000000022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−1+52−1−52−1+52−1−52000000000
χ1822222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52001−521+521−521+5200000000022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52001−521+521−521+52000000000
χ1922222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-21−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+5200−1+52−1−52−1+52−1−5200000000022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-21−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+5200−1+52−1−52−1+52−1−52000000000
χ2022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52001−521+521−521+5200000000022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52001−521+521−521+52000000000
χ2122222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−1−52−1+52−1−52−1+5200000000022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−1−52−1+52−1−52−1+52000000000
χ2222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52001+521−521+521−5200000000022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52001+521−521+521−52000000000
χ2322222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-21+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−5200−1−52−1+52−1−52−1+5200000000022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-21+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−5200−1−52−1+52−1−52−1+52000000000
χ2422222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−521+521−5200000000022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52000000000
χ25222222-2-222222222-22222-2-2-2-200000000000000-2-200000000220000-2-22000000222222-2-222222222-22222-2-2-2-200000000000000-2-200000000220000-2-22000000
χ26222222-2-222222222-22222-2-2-2-200000000000000-2-200000000-2-2000022-2000000222222-2-222222222-22222-2-2-2-200000000000000-2-200000000-2-2000022-2000000
χ272222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−522-22-22-2−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200−1+52−1−521−521+520000000002222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−522-22-22-2−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200−1+52−1−521−521+52000000000
χ282222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−522-2-22-22−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52001−521+52−1+52−1−520000000002222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−522-2-22-22−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52001−521+52−1+52−1−52000000000
χ292222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−52-222-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200−1+52−1−521−521+520000000002222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−52-222-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200−1+52−1−521−521+52000000000
χ302222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−52-22-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52001−521+52−1+52−1−520000000002222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−52-22-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52001−521+52−1+52−1−52000000000
χ312222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+522-22-22-2−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200−1−52−1+521+521−520000000002222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+522-22-22-2−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200−1−52−1+521+521−52000000000
χ322222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+522-2-22-22−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52001+521−52−1−52−1+520000000002222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+522-2-22-22−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52001+521−52−1−52−1+52000000000
χ332222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+52-222-2-221+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200−1−52−1+521+521−520000000002222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+52-222-2-221+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200−1−52−1+521+521−52000000000
χ342222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+52-22-222-21+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52001+521−52−1−52−1+520000000002222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+52-22-222-21+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52001+521−52−1−52−1+52000000000
χ352222-2-2-2-2222222222-2-2-2-2-2-2-2-2000000000000002200000000220000-22-20000002222-2-2-2-2222222222-2-2-2-2-2-2-2-2000000000000002200000000220000-22-2000000
χ362222-2-2-2-2222222222-2-2-2-2-2-2-2-2000000000000002200000000-2-200002-220000002222-2-2-2-2222222222-2-2-2-2-2-2-2-2000000000000002200000000-2-200002-22000000
χ37444444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4−1+5−1+5−1−5−1−51−51−51+51+5000000000000001−51+500000000000000000000000444444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4−1+5−1+5−1−5−1−51−51−51+51+5000000000000001−51+500000000000000000000000
χ38444444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4−1−5−1−5−1+5−1+51+51+51−51−5000000000000001+51−500000000000000000000000444444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4−1−5−1−5−1+5−1+51+51+51−51−5000000000000001+51−500000000000000000000000
χ394444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−541−51−51+51+51−51−51+51+500000000000000−1+5−1−5000000000000000000000004444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−541−51−51+51+51−51−51+51+500000000000000−1+5−1−500000000000000000000000
χ404444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+541+51+51−51−51+51+51−51−500000000000000−1−5−1+5000000000000000000000004444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+541+51+51−51−51+51+51−51−500000000000000−1−5−1+500000000000000000000000
χ4144-4-400004444-4-4-4-40000000000000000000000000000000004i−4i000000000000044-4-400004444-4-4-4-40000000000000000000000000000000004i−4i0000000000000
χ4244-4-400004444-4-4-4-4000000000000000000000000000000000−4i4i000000000000044-4-400004444-4-4-4-4000000000000000000000000000000000−4i4i0000000000000
χ434-44-4004-444-4-44-44-4000004-44-40000000000000000000000000000000000000004-44-4004-444-4-44-44-4000004-44-4000000000000000000000000000000000000000
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χ8822222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−521+521−52000000000-2-2-2-2-2-2-2-21+521−521+521−521+521+521−521−52-21+521+521−521−521+521+521−521−522222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521+521−521−5200−1−52−1+52−1−52−1+52000000000
χ89222222-2-222222222-22222-2-2-2-200000000000000-2-200000000220000-2-22000000-2-2-2-2-2-222-2-2-2-2-2-2-2-22-2-2-2-22222000000000000002200000000-2-2000022-2000000
χ90222222-2-222222222-22222-2-2-2-200000000000000-2-200000000-2-2000022-2000000-2-2-2-2-2-222-2-2-2-2-2-2-2-22-2-2-2-22222000000000000002200000000220000-2-22000000
χ912222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−522-22-22-2−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200−1+52−1−521−521+52000000000-2-2-2-222-2-21−521+521−521+521−521−521+521+522−1+52−1+52−1−52−1−521−521−521+521+52-22-22-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52001−521+52−1+52−1−52000000000
χ922222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−522-2-22-22−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52001−521+52−1+52−1−52000000000-2-2-2-222-2-21−521+521−521+521−521−521+521+522−1+52−1+52−1−52−1−521−521−521+521+52-222-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200−1+52−1−521−521+52000000000
χ932222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−52-222-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200−1+52−1−521−521+52000000000-2-2-2-222-2-21−521+521−521+521−521−521+521+522−1+52−1+52−1−52−1−521−521−521+521+522-2-222-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52001−521+52−1+52−1−52000000000
χ942222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−52-22-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52001−521+52−1+52−1−52000000000-2-2-2-222-2-21−521+521−521+521−521−521+521+522−1+52−1+52−1−52−1−521−521−521+521+522-22-2-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200−1+52−1−521−521+52000000000
χ952222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+522-22-22-2−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200−1−52−1+521+521−52000000000-2-2-2-222-2-21+521−521+521−521+521+521−521−522−1−52−1−52−1+52−1+521+521+521−521−52-22-22-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52001+521−52−1−52−1+52000000000
χ962222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+522-2-22-22−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52001+521−52−1−52−1+52000000000-2-2-2-222-2-21+521−521+521−521+521+521−521−522−1−52−1−52−1+52−1+521+521+521−521−52-222-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200−1−52−1+521+521−52000000000
χ972222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+52-222-2-221+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200−1−52−1+521+521−52000000000-2-2-2-222-2-21+521−521+521−521+521+521−521−522−1−52−1−52−1+52−1+521+521+521−521−522-2-222-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52001+521−52−1−52−1+52000000000
χ982222-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+52-22-222-21+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52001+521−52−1−52−1+52000000000-2-2-2-222-2-21+521−521+521−521+521+521−521−522−1−52−1−52−1+52−1+521+521+521−521−522-22-2-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200−1−52−1+521+521−52000000000
χ992222-2-2-2-2222222222-2-2-2-2-2-2-2-2000000000000002200000000220000-22-2000000-2-2-2-22222-2-2-2-2-2-2-2-2-22222222200000000000000-2-200000000-2-200002-22000000
χ1002222-2-2-2-2222222222-2-2-2-2-2-2-2-2000000000000002200000000-2-200002-22000000-2-2-2-22222-2-2-2-2-2-2-2-2-22222222200000000000000-2-200000000220000-22-2000000
χ101444444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4−1+5−1+5−1−5−1−51−51−51+51+5000000000000001−51+500000000000000000000000-4-4-4-4-4-4441−51+51−51+51−51−51+51+541−51−51+51+5−1+5−1+5−1−5−1−500000000000000−1+5−1−500000000000000000000000
χ102444444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4−1−5−1−5−1+5−1+51+51+51−51−5000000000000001+51−500000000000000000000000-4-4-4-4-4-4441+51−51+51−51+51+51−51−541+51+51−51−5−1−5−1−5−1+5−1+500000000000000−1−5−1+500000000000000000000000
χ1034444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−541−51−51+51+51−51−51+51+500000000000000−1+5−1−500000000000000000000000-4-4-4-444441−51+51−51+51−51−51+51+5-4−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5000000000000001−51+500000000000000000000000
χ1044444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+541+51+51−51−51+51+51−51−500000000000000−1−5−1+500000000000000000000000-4-4-4-444441+51−51+51−51+51+51−51−5-4−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5000000000000001+51−500000000000000000000000
χ10544-4-400004444-4-4-4-40000000000000000000000000000000004i−4i0000000000000-4-4440000-4-4-4-44444000000000000000000000000000000000−4i4i0000000000000
χ10644-4-400004444-4-4-4-4000000000000000000000000000000000−4i4i0000000000000-4-4440000-4-4-4-444440000000000000000000000000000000004i−4i0000000000000
χ1074-44-4004-444-4-44-44-4000004-44-4000000000000000000000000000000000000000-44-4400-44-4-444-44-4400000-44-44000000000000000000000000000000000000000
χ1084-44-4004-4−1+5−1−51−51+5−1+51−5−1−51+500000−1+51−5−1−51+50000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000-44-4400-441−51+5−1+5−1−51−5−1+51+5−1−5000001−5−1+51+5−1−5000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000
χ1094-44-4004-4−1+5−1−51−51+5−1+51−5−1−51+500000−1+51−5−1−51+5000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000-44-4400-441−51+5−1+5−1−51−5−1+51+5−1−5000001−5−1+51+5−1−50000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000
χ1104-44-4004-4−1−5−1+51+51−5−1−51+5−1+51−500000−1−51+5−1+51−5000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000-44-4400-441+51−5−1−5−1+51+5−1−51−5−1+5000001+5−1−51−5−1+50000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000
χ1114-44-4004-4−1−5−1+51+51−5−1−51+5−1+51−500000−1−51+5−1+51−50000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000-44-4400-441+51−5−1−5−1+51+5−1−51−5−1+5000001+5−1−51−5−1+5000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000
χ1124-44-400-4444-4-44-44-400000-44-44000000000000000000000000000000000000000-44-44004-4-4-444-44-44000004-44-4000000000000000000000000000000000000000
χ1134-44-400-44−1+5−1−51−51+5−1+51−5−1−51+5000001−5−1+51+5−1−500000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000-44-44004-41−51+5−1+5−1−51−5−1+51+5−1−500000−1+51−5−1−51+50000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000
χ1144-44-400-44−1+5−1−51−51+5−1+51−5−1−51+5000001−5−1+51+5−1−50000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000-44-44004-41−51+5−1+5−1−51−5−1+51+5−1−500000−1+51−5−1−51+500000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000
χ1154-44-400-44−1−5−1+51+51−5−1−51+5−1+51−5000001+5−1−51−5−1+50000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000-44-44004-41+51−5−1−5−1+51+5−1−51−5−1+500000−1−51+5−1+51−500000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000
χ1164-44-400-44−1−5−1+51+51−5−1−51+5−1+51−5000001+5−1−51−5−1+500000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000-44-44004-41+51−5−1−5−1+51+5−1−51−5−1+500000−1−51+5−1+51−50000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000
χ1174-4-444-40044-4-4-44-4404-44-40000000000000000000000000000000000000000000-444-4-4400-4-4444-44-40-44-440000000000000000000000000000000000000000000
χ1184-4-444-400−1+5−1−51−51+51−5−1+51+5−1−50−1+51−5−1−51+500000000000000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000000000-444-4-44001−51+5−1+5−1−5−1+51−5−1−51+501−5−1+51+5−1−500000000000000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000000000
χ1194-4-444-400−1+5−1−51−51+51−5−1+51+5−1−50−1+51−5−1−51+500000000000000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000000000-444-4-44001−51+5−1+5−1−5−1+51−5−1−51+501−5−1+51+5−1−500000000000000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000000000
χ1204-4-444-400−1−5−1+51+51−51+5−1−51−5−1+50−1−51+5−1+51−500000000000000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000-444-4-44001+51−5−1−5−1+5−1−51+5−1+51−501+5−1−51−5−1+500000000000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000
χ1214-4-444-400−1−5−1+51+51−51+5−1−51−5−1+50−1−51+5−1+51−500000000000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000-444-4-44001+51−5−1−5−1+5−1−51+5−1+51−501+5−1−51−5−1+500000000000000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000
χ1224-4-44-440044-4-4-44-440-44-440000000000000000000000000000000000000000000-444-44-400-4-4444-44-404-44-40000000000000000000000000000000000000000000
χ1234-4-44-4400−1+5−1−51−51+51−5−1+51+5−1−501−5−1+51+5−1−500000000000000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000000000-444-44-4001−51+5−1+5−1−5−1+51−5−1−51+50−1+51−5−1−51+500000000000000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000000000
χ1244-4-44-4400−1+5−1−51−51+51−5−1+51+5−1−501−5−1+51+5−1−500000000000000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000000000000-444-44-4001−51+5−1+5−1−5−1+51−5−1−51+50−1+51−5−1−51+500000000000000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000000000000
χ1254-4-44-4400−1−5−1+51+51−51+5−1−51−5−1+501+5−1−51−5−1+500000000000000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000-444-44-4001+51−5−1−5−1+5−1−51+5−1+51−50−1−51+5−1+51−500000000000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000
χ1264-4-44-4400−1−5−1+51+51−51+5−1−51−5−1+501+5−1−51−5−1+500000000000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000-444-44-4001+51−5−1−5−1+5−1−51+5−1+51−50−1−51+5−1+51−500000000000000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000
χ12788-8-80000−2+25−2−25−2+25−2−252−252−252+252+25000000000000000000000000000000000000000000000000-8-88800002−252+252−252+25−2+25−2+25−2−25−2−25000000000000000000000000000000000000000000000000
χ12888-8-80000−2−25−2+25−2−25−2+252+252+252−252−25000000000000000000000000000000000000000000000000-8-88800002+252−252+252−25−2−25−2−25−2+25−2+25000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.